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Finding the Fourth Proportional to 1,487.94, 2,231.97 and 563.19

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Solution

The fourth proportional to 1,487.94, 2,231.97 and 563.19 is: 844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.94 : 2,231.97 = 563.19 : x
  2. Step 2: Convert to fraction form
    1,487.94/2,231.97 = 563.19/x
  3. Step 3: Cross multiply
    1,487.94x = 2,231.97 × 563.19
  4. Step 4: Simplify right side
    1,487.94x = 1,257,023.18
  5. Step 5: Solve for x
    x = 1,257,023.18/1,487.94
  6. Step 6: Final answer
    x = 844.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.